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Dynamics of cell shape and forces on micropatterned substrates predicted by a cellular Potts model

机译：通过细胞Potts模型预测的微图案化基质上细胞形状和力的动力学

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Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft elastic substrates. To predict the dynamics and steady states of cell shape and forces without any a priori knowledge of how the cell will spread on a given micropattern, here we extend earlier formulations of the two-dimensional cellular Potts model. The third dimension is treated as an area reservoir for spreading. To account for local contour reinforcement by peripheral bundles, we augment the cellular Potts model by elements of the tension-elasticity model. We first parameterize our model and show that it accounts for momentum conservation. We then demonstrate that it is in good agreement with experimental data for shape, spreading dynamics, and traction force patterns of cells on micropatterned substrates. We finally predict shapes and forces for micropatterns that have not yet been experimentally studied.
机译：微图案化的底物通常用于标准化细胞实验和定量研究细胞形状与功能之间的关系。此外，它们越来越多地与牵引力显微镜结合使用在软弹性基材上。为了预测细胞形状和作用力的动态和稳态，而无需任何先验知识即可知道细胞如何在给定的微图案上扩散，这里我们扩展了二维细胞Potts模型的早期公式。第三维被视为区域扩展库。为了考虑外围束对局部轮廓的增强，我们通过拉伸弹性模型的元素来增强细胞Potts模型。我们首先对模型进行参数化，并表明它说明了动量守恒。然后，我们证明它与微图案化基材上细胞的形状，铺展动力学和牵引力模式的实验数据非常吻合。我们最终可以预测尚未通过实验研究的微图案的形状和作用力。

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